ZETA FUNCTION OF THE BURNSIDE RING FOR HAMILTONIAN GROUPS
We consider the Burnside ring of a Hamiltonian group G of the form where is the group of quaternions and A is an abelian group of odd order, which is the direct product of cyclic groups of distinct prime power orders. We give the zeta function of the Burnside ring for these Hamiltonian groups.
Burnside rings, Zeta functions, Hamiltonian groups.